{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Implementing the Gradient Descent Algorithm\n",
    "\n",
    "In this lab, we'll implement the basic functions of the Gradient Descent algorithm to find the boundary in a small dataset. First, we'll start with some functions that will help us plot and visualize the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "#Some helper functions for plotting and drawing lines\n",
    "\n",
    "def plot_points(X, y):\n",
    "    admitted = X[np.argwhere(y==1)]\n",
    "    rejected = X[np.argwhere(y==0)]\n",
    "    plt.scatter([s[0][0] for s in rejected], [s[0][1] for s in rejected], s = 25, color = 'blue', edgecolor = 'k')\n",
    "    plt.scatter([s[0][0] for s in admitted], [s[0][1] for s in admitted], s = 25, color = 'red', edgecolor = 'k')\n",
    "\n",
    "def display(m, b, color='g--'):\n",
    "    plt.xlim(-0.05,1.05)\n",
    "    plt.ylim(-0.05,1.05)\n",
    "    x = np.arange(-10, 10, 0.1)\n",
    "    plt.plot(x, m*x+b, color)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reading and plotting the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0ade7652e8>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = pd.read_csv('data.csv', header=None)\n",
    "X = np.array(data[[0,1]])\n",
    "y = np.array(data[2])\n",
    "plot_points(X,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## TODO: Implementing the basic functions\n",
    "Here is your turn to shine. Implement the following formulas, as explained in the text.\n",
    "- Sigmoid activation function\n",
    "\n",
    "$$\\sigma(x) = \\frac{1}{1+e^{-x}}$$\n",
    "\n",
    "- Output (prediction) formula\n",
    "\n",
    "$$\\hat{y} = \\sigma(w_1 x_1 + w_2 x_2 + b)$$\n",
    "\n",
    "- Error function\n",
    "\n",
    "$$Error(y, \\hat{y}) = - y \\log(\\hat{y}) - (1-y) \\log(1-\\hat{y})$$\n",
    "\n",
    "- The function that updates the weights\n",
    "\n",
    "$$ w_i \\longrightarrow w_i + \\alpha (y - \\hat{y}) x_i$$\n",
    "\n",
    "$$ b \\longrightarrow b + \\alpha (y - \\hat{y})$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Implement the following functions\n",
    "\n",
    "# Activation (sigmoid) function\n",
    "def sigmoid(x):\n",
    "    return 1 / (1 + np.exp(-x))\n",
    "\n",
    "# Output (prediction) formula\n",
    "def output_formula(features, weights, bias):\n",
    "    return sigmoid(np.dot(features, weights) + bias)\n",
    "\n",
    "# Error (log-loss) formula\n",
    "def error_formula(y, output):\n",
    "    return -y*np.log(output) - (1-y)*np.log(1 - output)\n",
    "\n",
    "# Gradient descent step\n",
    "def update_weights(x, y, weights, bias, learnrate):\n",
    "    weights += learnrate * (y - output_formula(x, weights, bias)) * x\n",
    "    bias += learnrate * (y - output_formula(x, weights, bias))\n",
    "    return weights, bias"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training function\n",
    "This function will help us iterate the gradient descent algorithm through all the data, for a number of epochs. It will also plot the data, and some of the boundary lines obtained as we run the algorithm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(44)\n",
    "\n",
    "epochs = 10000\n",
    "learnrate = 0.00001\n",
    "\n",
    "def train(features, targets, epochs, learnrate, graph_lines=False):\n",
    "    \n",
    "    errors = []\n",
    "    n_records, n_features = features.shape\n",
    "    last_loss = None\n",
    "    weights = np.random.normal(scale=1 / n_features**.5, size=n_features)\n",
    "    bias = 0\n",
    "    for e in range(epochs):\n",
    "        del_w = np.zeros(weights.shape)\n",
    "        for x, y in zip(features, targets):\n",
    "            output = output_formula(x, weights, bias)\n",
    "            error = error_formula(y, output)\n",
    "            weights, bias = update_weights(x, y, weights, bias, learnrate)\n",
    "        \n",
    "        # Printing out the log-loss error on the training set\n",
    "        out = output_formula(features, weights, bias)\n",
    "        loss = np.mean(error_formula(targets.reshape(-1, 1), out))\n",
    "        errors.append(loss)\n",
    "        if e % (epochs / 10) == 0:\n",
    "            print(\"\\n========== Epoch\", e,\"==========\")\n",
    "            if last_loss and last_loss < loss:\n",
    "                print(\"Train loss: \", loss, \"  WARNING - Loss Increasing\")\n",
    "            else:\n",
    "                print(\"Train loss: \", loss)\n",
    "            last_loss = loss\n",
    "            predictions = out > 0.5\n",
    "            accuracy = np.mean(predictions == targets)\n",
    "            print(\"Accuracy: \", accuracy)\n",
    "        if graph_lines and e % (epochs / 100) == 0:\n",
    "            display(-weights[0]/weights[1], -bias/weights[1])\n",
    "            \n",
    "\n",
    "    # Plotting the solution boundary\n",
    "    plt.title(\"Solution boundary\")\n",
    "    display(-weights[0]/weights[1], -bias/weights[1], 'black')\n",
    "\n",
    "    # Plotting the data\n",
    "    plot_points(features, targets)\n",
    "    plt.show()\n",
    "\n",
    "    # Plotting the error\n",
    "    plt.title(\"Error Plot\")\n",
    "    plt.xlabel('Number of epochs')\n",
    "    plt.ylabel('Error')\n",
    "    plt.plot(errors)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Time to train the algorithm!\n",
    "When we run the function, we'll obtain the following:\n",
    "- 10 updates with the current training loss and accuracy\n",
    "- A plot of the data and some of the boundary lines obtained. The final one is in black. Notice how the lines get closer and closer to the best fit, as we go through more epochs.\n",
    "- A plot of the error function. Notice how it decreases as we go through more epochs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "========== Epoch 0 ==========\n",
      "Train loss:  0.702094031023\n",
      "Accuracy:  0.4\n",
      "\n",
      "========== Epoch 1000 ==========\n",
      "Train loss:  0.696433713858\n",
      "Accuracy:  0.41\n",
      "\n",
      "========== Epoch 2000 ==========\n",
      "Train loss:  0.695709629871\n",
      "Accuracy:  0.51\n",
      "\n",
      "========== Epoch 3000 ==========\n",
      "Train loss:  0.696698243142   WARNING - Loss Increasing\n",
      "Accuracy:  0.53\n",
      "\n",
      "========== Epoch 4000 ==========\n",
      "Train loss:  0.698110463922   WARNING - Loss Increasing\n",
      "Accuracy:  0.61\n",
      "\n",
      "========== Epoch 5000 ==========\n",
      "Train loss:  0.699492371356   WARNING - Loss Increasing\n",
      "Accuracy:  0.61\n",
      "\n",
      "========== Epoch 6000 ==========\n",
      "Train loss:  0.700727157243   WARNING - Loss Increasing\n",
      "Accuracy:  0.64\n",
      "\n",
      "========== Epoch 7000 ==========\n",
      "Train loss:  0.701821439957   WARNING - Loss Increasing\n",
      "Accuracy:  0.65\n",
      "\n",
      "========== Epoch 8000 ==========\n",
      "Train loss:  0.70281793479   WARNING - Loss Increasing\n",
      "Accuracy:  0.67\n",
      "\n",
      "========== Epoch 9000 ==========\n",
      "Train loss:  0.703762322763   WARNING - Loss Increasing\n",
      "Accuracy:  0.68\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0ade390940>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0ade5fa5f8>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "train(X, y, epochs, learnrate, True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "weights = np.random.normal(scale=1 / 10**.5, size=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(10,)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "weights.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
